Part 1) Life Expectancy and Obesity (1 Review the Health data given in the Excel spreadsheet, named as MATH215-DATA for Application The variable of % Obesity is the percent of obese residents per state, and the Life Expectancy variable is the average life expectancy in years per state. 1. scatterplot to see the relationship between the variables % Obese and Life Expectancy. [Hint: you might consider changing the x-axis scale] Copy and paste your graph here. a. What is the independent variable? b. What is the dependent variable? c. Does there seem to be a linear association between the two variables? 2. Find the correlation coefficient, r and describe the relationship between % Obese and Life Expectancy. Round your answer to 3 decimals. Is the relationship positive or negative; strong, moderate, or weak? 3. Find the equation of the estimated linear regression line, . Write the equation below and sketch it on the scatter plot. 4. If the percent Obese in a state is 30.5% what would you predict the average Life Expectancy of that state to be? (Use the estimated linear regression line, , in question 3) 5. Can 45% Obese be used to estimate the average Life Expectancy for a state? Why or why not? 6. A. Choose one of the provided states and find the %Obese and Life Expectancy in that state. What is the state you chose? ______________ What is the %Obese in that state? ___________ What is the Life Expectancy in that state? _______________ B. Find the estimated average Life Expectancy in this state using the estimated regression line . C. Is the estimated average Life Expectancy in this state higher or lower than the actual Life Expectancy. 7. By how much will change with one unit increase in % Obese? 8. If the average Life Expectancy of a state is 75.9 years, what would you expect the percent Obese of that state to be? (Use the estimated linear regression line, , in question 3)